Enaineers. 6th Edition PRINTER VERSION BACK NEXT ASSIGNMENT RESOURCES Problem 3.

Question

Enaineers. 6th Edition PRINTER VERSION BACK NEXT ASSIGNMENT RESOURCES Problem 3.157 Suppose X has a Poisson distribution with a mean of 4. Determine the following probabilities Round your answers to four decimal places (e.g. 98.7654) (a) P(X = 0) = (- Hw3 1049 Problem 3.109 Problem 3.159 Problem 3176 Problem 3.200 Problem 3.198 Problem 3.190 (b) P(X s 2) C Review Score Review Results by Study Objective (c)P(X= 4) = 0 (d) P(X = 8)-C Mobile Site Statistical Tables and Charts Click if you would like to Show Work for this question: Open Show Work Question Attempts: O of 2 used SAVE FOR LATER SUBMIT ANSW

Explanation / Answer

The poisson distribution formula is given as

P(x; ) = (e-) (x) / x!

where x is the actual number of successes that result from the experiment, and eis approximately equal to 2.71828.

a) put x = 0 in the above formula

(e-) (0) / 0! = 0.018

b)

P(x<=2) = P0 + P1

P0 = 0.018 , as calculated in step a , and

P1 = (e-) (1) / 1!

so final answer is 0.238

c)

P(X=4) = (e-) (4) / 4!

0.1953

d)

P(X=8) =

P(X=8) = (e-) (8) / 8! =

0.029

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